Strip approximation with Bézier patches in conical form for design and manufacturing of developable materials.

International Journal of Computer Integrated Manufacturing (Impact Factor: 1.02). 03/2011; 24:269-284. DOI: 10.1080/0951192X.2010.551782
Source: DBLP

ABSTRACT This article proposes a novel geometric modelling method for strip approximation using developable Bézier patches in the conical form. Given two space curves, a greedy algorithm is applied to generate an aggregate of quadrilateral and triangular patches based on local optimisation of normal variation across the patch boundaries. These patches, only with positional continuity, are degree elevated to produce additional control points for further shape adjustment. G1 continuity is thus created by the extra degrees of freedom obtained from the degree elevation while the surface developability is preserved. An adaptive refinement algorithm is introduced to minimise the deviation between the boundaries of the approximation patches and the given curves. The experimental results of test examples demonstrate the advantages of the proposed method, which provides flexible modelling capability with quadrilateral and triangular patches, approximates with high-order patches and allows error control in the approximation. This work offers an effective approach for design and manufacturing of developable materials.

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    ABSTRACT: This paper presents a systematic framework for design customization of footwear for children and identifies three modules related to shoe styling: shoe surface, shoe bottom, and accessory. A new module, shoe cloth, is created to allow a quick change of shoe appearance. Consumers can specify various design attributes in each module, including color, texture, embroidery, and shape. A prototype design system is implemented using augmented reality and sensing technologies based on the framework. This system consists of novel functions that support customization, design evaluation, and pattern development. The user can virtually put a customized shoe model on his/her foot in a video stream. The proposed framework not only facilitates evaluating products that are highly interactive with users, but also helps engage them in the design process. This work realizes the concept of human-centric design for mass customization.
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Dec 22, 2014